Exactly Solvable Q-Extended Nonlinear Classical And Quantum Models

Language: English

Published by LAP LAMBERT Academic Publishing Okt 2014, 2014

3659619698 / 9783659619694

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This item is printed on demand - Print on Demand Titel. Neuware -The quantum or q-calculus is based on finite difference re-scaling and first results in it belong to Euler and Gauss. Developed by Fermat, Jackson, Heine, Jacobi, Ramanujan etc, in XX century it was rediscovered as symmetry of quantum models related to quantum algebras and quantum groups. Noncommutative geometry, fractals, hydrodynamics and quantum theory are fields of its applications.The book is devoted to basic principles of q-caluculs and applications to classical and quantum linear and nonlinear problems. Starting from notion of q-number and q-derivative we study classical and quantum oscillators, heat and Burgers equations. We introduce the concepts of q-analogs of shock solitons, traveling waves and analytic functions, and develop multiple q-calculus to study multi-dimensional problems. By recognizing Fibonacci numbers as q-calculus with golden ratio bases, we construct nonlinear quantum oscillator with Fibonacci spectrum. The book is self contained and pedagogically written as an introduction to the subject for students at advanced undergraduate and graduate level from science and engineering specialties. Also it could be a valuable source for researchers in the field.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 272 pp. Englisch.

Seller Inventory # 9783659619694

Title
Exactly Solvable Q-Extended Nonlinear Classical And Quantum Models
Author
¿Engül Nalc¿
Publisher
LAP LAMBERT Academic Publishing Okt 2014
Publication year
2014
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3659619698
ISBN 13
9783659619694
Item weight
423 grams
Dimensions
220x150x17 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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